Checklist for Short Questionssccs-dcg.weebly.com/uploads/1/3/9/5/13957485/checklist_for_short...Cube...
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Checklist for Section A Exam Questions A-1 A-2 A-3 A-4 2017 2016 2015 2014 2013 2012 2011 2010 2009 A-1. The drawing shows the projections of a set of soccer goal posts. A ball is positioned at Pfor two penalty kicks during a World Cup match. The ball travels in a straight lineand hits the net each time. (a) The line PS, in plan, shows the start of the flight path of the ball for the 1st penalty kick. The ball crosses the goal line at a height that is halfway between the ground and the crossbar. Draw the projections of the full flight path. (b) Similarly, the line PT, which makes an angle of 15° with the ground, shows the flight path of the ball for the 2nd penalty kick. Draw the projections of the full flight path. A-2. The 3D graphic below shows a piece of play equipment from a science museum. It includes a truncated hexagonal prism. The drawing on the right shows the incomplete projections of a similar hexagonal prism which has been cut by the oblique plane VTH. An auxiliary elevation is also given. (a) Complete the plan and elevation of the cut prism. (b) Determine the true shape of the cut surface. A-3. The 3D graphic below shows a tagine, which is a type of clay oven frequently used in North African cooking. The drawing on the right shows the incomplete elevation of the tagine. The upper “lid” is based on two semi-parabolas which are inscribed in rectangles and the lower dish is based on a semi-ellipse. (a) V1and V2are the vertices of the semi-parabolas. Pis a point on the semi-ellipse. Small portions of two of the curves have already been drawn. Complete the elevation of the tagine. Show clearly how the exact length of the base is obtained. (b) Draw a tangent to the curve at the point P. A-4. The drawing on the right shows a partially completed perspective projection of a tennis court. (a) The position of one of the vanishing points, VP2, is shown. Locate the other vanishing point. (b) Complete the perspective projection of the tennis court and the net. (c) Determine the true height of the net. A-1. The 3D graphic below shows a Rubik's Cubeand a display stand. The drawing on the right shows the incomplete projections of the objects. (a) Complete the elevation of the cube. (b) It is planned to package the cube, without the stand, in a plastic sphere. Determine the diameter of the smallest possible sphere that will contain the cube and draw that sphere in the end view. A-2. The graphic below shows a bowling ball and pins. The drawing on the right shows the elevation and incomplete plan of one of the pins and the bowling ball in contact with each other. (a) Complete the plan of the solids in contact. (b) Draw the planof a right cylinder which stands upright on the horizontal plane. The top of the cylinder touches the pin at the point Pand also touches the ball. A-3. The image below shows a sign outside the offices of a company called ‘Key Technologies’. In the sign, a truncated copper pyramid is intersected by a triangular steel prism. The drawing on the right below shows the elevation and incomplete plan of the solids which penetrate each other. (a) Complete the plan, showing all lines of interpenetration. Use a section planeto find the “crossover points” on edge ‘de’. (The image below shows a keyhole logo, which should be omitted on your drawing.) (b) Determine the true shape of the triangle abc. A-4. Lasers are often used in Crime Scene Investigationto determine the trajectory (flight path) of bullets. In the drawing on the right, two bullet paths are represented by the lines ABand CD. (a) Using geometric constructions, determine if the bullets were fired from the same location, by establishing if the lines are: Skew lines or Intersecting lines (Indicate using a tick ‘ ’). (b) Draw a line, joining points Aand C, and determine the true length of that line. A-1. The 3D graphic below shows a lectern. The drawing on the right shows an incomplete trimetric projection of a similar lectern using the axonometric axes method. (a) Complete the axonometric projection of the lectern. (b) Determine and indicate the true diagonal length of the sloping rectangular top. A-2. The 3D graphic below shows a road sign and its supporting frame. The supporting frame is in the form of a regular tetrahedron. The drawing on the right shows the plan and incomplete elevation of the structure. (a) Complete the elevation. (Include the directional arrow.) (b) Determine the true shape of the parallelogram shaped road sign. A-3. The careful positioning of road signs is of particular importance on dangerous bends, as shown in the image below. This is to ensure that they are clearly visible by day and also by night. The drawing on the right below shows the plan view of a hairpin (U-shaped) bend. Point Pshows the position of a car travelling along the road from Ato Bat night. The angle Lrepresents the beam of light from the headlights and Sshows the position of a road sign. Determine the position of the car, on the roadway, when the sign becomes illuminated initially. A-4. The graphic below shows a litter bin and logo. The drawing on the right is a partially completed perspective view of the bin. Complete the perspective drawing of the bin, using an auxiliary vanishing point for the sloping surfaces.
Transcript of Checklist for Short Questionssccs-dcg.weebly.com/uploads/1/3/9/5/13957485/checklist_for_short...Cube...
Checklist for Section A Exam Questions
A-1 A-2 A-3 A-4
2017
2016
2015
2014
2013
2012
2011
2010
2009
A-1. The drawing shows the projections of a set of soccer goal posts. A ball is positioned at P for two penalty kicks during a World Cup match. The ball travels in a straight line and hits the net each time.
(a) The line PS, in plan, shows the start of the flight path of the ball for the 1st penalty kick. The ball crosses
the goal line at a height that is halfway between the ground and the crossbar. Draw the projections of the
full flight path.
(b) Similarly, the line PT,
which makes an angle of 15° with the ground,
shows the flight path of the ball for the 2nd penalty kick.
Draw the projections
of the full flight path.
A-2. The 3D graphic below shows a piece of
play equipment from a science museum. It includes a truncated hexagonal prism.
The drawing on the right shows the incomplete projections of a similar
hexagonal prism which has been cut by the oblique plane VTH.
An auxiliary elevation is also given.
(a) Complete the plan and elevation of
the cut prism.
(b) Determine the true shape of the
cut surface.
A-3. The 3D graphic below shows a tagine, which is a type of clay oven frequently used in North African cooking. The drawing on the right shows the incomplete elevation of the tagine. The upper “lid” is based on two
semi-parabolas which are inscribed in rectangles and the lower dish is based on a semi-ellipse.
(a) V1 and V2 are the vertices of
the semi-parabolas. P is a point on the semi-ellipse.
Small portions of two of the curves have already been
drawn. Complete the elevation of the tagine. Show clearly
how the exact length of the base is obtained.
(b) Draw a tangent to the curve at
the point P.
A-4. The drawing on the right shows a partially completed
perspective projection of a tennis court.
(a) The position of one of the vanishing points, VP2,
is shown. Locate the other vanishing point.
(b) Complete the perspective
projection of the tennis court and the net.
(c) Determine the true height of the net.
A-1. The 3D graphic below shows a Rubik's
Cube and a display stand.
The drawing on the right shows the
incomplete projections of the objects.
(a) Complete the elevation of the cube.
(b) It is planned to package the cube,
without the stand, in a plastic
sphere.
Determine the diameter of
the smallest possible sphere that will contain the cube and
draw that sphere in the end view.
A-2. The graphic below shows a bowling ball and pins.
The drawing on the right shows the elevation and
incomplete plan of one of the pins and the bowling ball in contact with each other.
(a) Complete the plan of the solids in contact.
(b) Draw the plan of a right cylinder which stands upright on the horizontal plane. The top of the
cylinder touches the pin at the point P and also
touches the ball.
A-3. The image below shows a sign outside the offices of a company called ‘Key Technologies’. In the sign, a
truncated copper pyramid is intersected by a triangular steel prism.
The drawing on the right below shows the elevation and incomplete plan of the solids which penetrate each
other.
(a) Complete the plan, showing all lines of interpenetration. Use a section plane to
find the “crossover points” on edge ‘de’.
(The image below shows a keyhole logo,
which should be omitted on your drawing.)
(b) Determine the true shape of the
triangle abc.
A-4. Lasers are often used in Crime Scene Investigation to determine the trajectory (flight path) of bullets.
In the drawing on the right, two bullet paths are represented by the lines AB and CD.
(a) Using geometric constructions,
determine if the bullets were fired
from the same location, by establishing if the lines are:
Skew lines
or
Intersecting lines
(Indicate using a tick ‘ ’).
(b) Draw a line, joining points A and C,
and determine the true length of that
line.
A-1. The 3D graphic below shows a lectern. The drawing on the right shows an incomplete trimetric projection of a similar lectern using the axonometric axes method.
(a) Complete the axonometric projection of the lectern.
(b) Determine and indicate the true diagonal length of the sloping rectangular top.
A-2. The 3D graphic below shows a road sign and its supporting frame.
The supporting frame is in the form of a regular tetrahedron.
The drawing on the right shows the plan and incomplete elevation of the structure.
(a) Complete the elevation. (Include the directional arrow.)
(b) Determine the true shape of the
parallelogram shaped road sign.
A-3. The careful positioning of road signs is of particular importance on dangerous bends, as shown in the image below. This is to ensure that they are clearly visible by day and also by night.
The drawing on the right below shows the plan view of a hairpin (U-shaped) bend. Point P shows the position of a car travelling along the road from A to B at night. The angle L represents the beam
of light from the headlights and S shows the position of a road sign.
Determine the position of the car, on
the roadway, when the sign becomes illuminated initially.
A-4. The graphic below shows a litter bin and logo.
The drawing on the right is a partially completed perspective view of the bin.
Complete the perspective drawing of the bin, using
an auxiliary vanishing point for the sloping
surfaces.
